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Finding the Third Proportional to 712,266,180.75 and 1,569,440,657.63

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Solution

The third proportional to 712,266,180.75 and 1,569,440,657.63 is: 3,458,179,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,266,180.75 : 1,569,440,657.63 = 1,569,440,657.63 : x
  2. Step 2: Convert to fraction form
    712,266,180.75/1,569,440,657.63 = 1,569,440,657.63/x
  3. Step 3: Cross multiply
    712,266,180.75x = 1,569,440,657.63 × 1,569,440,657.63
  4. Step 4: Simplify right side
    712,266,180.75x = 2,463,143,977,806,392,320
  5. Step 5: Solve for x
    x = 2,463,143,977,806,392,320/712,266,180.75
  6. Step 6: Final answer
    x = 3,458,179,040.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.